The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 11GM89 # Created Wed May 8 01:13:51 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 0.97y # First observation: 2011/04/04 # Last observation: 2012/03/24 Preliminary a, adot, b, bdot, g, gdot: -0.000006 0.008989 0.000000 -0.002572 0.014696 0.000000 # Chi-squared of fit: 31.68 DOF: 14 RMS: 0.31 # Min/Max residuals: -0.83 0.63 # Exact a, adot, b, bdot, g, gdot: 7.996755E-06 9.051587E-03 -1.840173E-06 -2.591163E-03 1.477810E-02 5.666863E-03 # Covariance matrix: 6.2409E-13 4.9032E-12 1.2296E-13 -1.4110E-12 3.1287E-12 5.5427E-10 4.9032E-12 3.2353E-10 7.4376E-12 -8.2685E-11 1.6590E-10 3.2523E-08 1.2296E-13 7.4376E-12 4.6664E-13 -2.2847E-12 3.8273E-12 7.5004E-10 -1.4110E-12 -8.2685E-11 -2.2847E-12 2.2180E-11 -4.2624E-11 -8.3423E-09 3.1287E-12 1.6590E-10 3.8273E-12 -4.2624E-11 8.6027E-11 1.6765E-08 5.5427E-10 3.2523E-08 7.5004E-10 -8.3423E-09 1.6765E-08 3.2813E-06 # lat0 lon0 xBary yBary zBary JD0 -6.655529 -134.218575 0.529995 -0.098834 -0.846915 2455655.757786 # Heliocentric elements and errors Epoch: 2455650.5000 = 2011/03/30 Mean Anomaly: 66.02074 +/- 29.738 Argument of Peri: 77.57589 +/- 9.131 Long of Asc Node: 23.65341 +/- 0.017 Inclination: 17.31989 +/- 0.012 Eccentricity: 0.51050806 +/- 0.1096 Semi-Major Axis: 65.50532355 +/- 10.2084 Time of Perihelion: 2420137.1859 +/- 13673.7 Perihelion: 32.06432776 +/- 8.7496 Aphelion: 98.94631934 +/- 17.0105 Period (y) 530.1797 +/- 123.93 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -47.84327722 +/- 0.0294 Ecliptic Y -48.41155073 +/- 0.0302 Ecliptic Z -7.84280195 +/- 0.0050 Ecliptic XDOT 0.00051174 +/- 0.0002 Ecliptic YDOT -0.00187099 +/- 0.0002 Ecliptic ZDOT -0.00059847 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 68.51399099 +/- 0.0296 Geocenter to KBO 67.66769045 +/- 0.0425 # Hcoef: 7.09
The following table shows the complete astrometric record for 11GM89. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (11GM89) followed by the observatory code and reference code for the source of the astrometry.
2011 04 04.25702 14 44 54.748 -22 55 23.22 25.3r 11GM89 304 C~1x7o 2011 04 04.37031 14 44 54.427 -22 55 22.35 11GM89 304 C~1x7o 2011 04 15.34305 14 44 21.946 -22 53 49.60 11GM89 304 C~1x7o 2011 07 01.96944 14 40 43.298 -22 37 34.26 11GM89 304 C~1x7o 2011 07 02.97082 14 40 41.718 -22 37 23.16 11GM89 304 C~1x7o 2011 07 02.98856 14 40 41.686 -22 37 23.29 11GM89 304 C~1x7o 2011 07 03.00042 14 40 41.657 -22 37 23.48 11GM89 304 C~1x7o 2012 03 23.32908 14 47 19.914 -23 14 06.61 25.5r 11GM89 304 C~1x7p 2012 03 23.37685 14 47 19.799 -23 14 06.40 11GM89 304 C~1x7p 2012 03 24.35135 14 47 17.444 -23 14 02.32 11GM89 304 C~1x7p
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.35 0.00 -0.19
2 0.0003 -4.49 0.36 -0.51 -0.14
3 0.0304 -460.35 -0.83 -47.45 -0.51
4 0.2429 -3638.40 0.08 -41.05 0.19
5 0.2456 -3662.64 -0.01 -37.23 0.63
6 0.2457 -3663.02 0.05 -37.49 0.32
7 0.2457 -3663.34 0.01 -37.79 -0.02
8 0.9694 2247.67 0.14 -472.53 -0.02
9 0.9695 2246.09 0.14 -472.80 -0.01
10 0.9722 2213.88 -0.28 -478.55 -0.23
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
11GM89 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0